Question

solve. 4/z+6 = 3/z-7

Answer 1

This is a proportion. Find the cross products. 4(z-7)=3(z-7). Then distribute. Solve for z.

Answer 2

4(z-7)=3(z-6) sorry.

Answer 3

It is a rational expression

Answer 4

Right, to remove the the denominators we can treat it as a proportion.

Answer 5

the math is the same as solving something like 2/x = 9/14

9x = 2*14

Answer 6

\[{4 \over z+6} = {3 \over z-7}\]
4(z-7) =3(z+6)
4z-28=3z+18

and so on

Answer 7

so is the answer -10/7 ? I'm not sure if I understand it correctly

Answer 8

subtract 3z from both sides
1z -28 = 18

add 28 to both sides

1z = 46

Answer 9

Check out this example

http://www.purplemath.com/modules/solvrtnl.htm